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Write an equation that expresses the following relationship.
w varies directly with u and inversely with the square of d
In your equation, use k as the constant of proportionality.

Answer :

Answer:

w = [tex]\frac{ku}{d^{2} }[/tex]

Step-by-step explanation:

An equation that expresses the given relationship is ud²=1.

Given that, w varies directly with u and inversely with the square of d.

We need to write an equation that expresses the following relationship.

What is directly and inversely varies?

Direct variation is a linear function defined by an equation of the form y = kx when x is not equal to zero. Inverse variation is a nonlinear function defined by an equation of the form xy = k when x is not equal to zero and k is a nonzero real number constant.

Now, w∝u⇒w=ku

and w∝1/d²⇒w=k/d²

⇒wd²=k

⇒w=wd²u

⇒ud²=1

Therefore, an equation that expresses the given relationship is ud²=1.

To learn more about varies directly and inversely visit:

https://brainly.com/question/2315806.

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